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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The division algorithm for polynomials"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: Why multiplying by the conjugate clears the surd

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Quiz: Checking a surd equation for extraneous roots

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Final Revision: A word problem that leads to an equation in surd form

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Learn: What closure means for a binary operation

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Practice: Testing a set for closure under multiplication

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Learn: What it means for an operation to be commutative

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Worked Example: Testing a*b against b*a for a given rule

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Explain Back: What it means for an operation to be associative

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Worked Example: Testing whether star distributes over plus

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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Spot My Mistake: Finding the inverse of a given element

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Learn: Reading index notation, the base and the exponent

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Learn: Why any non-zero number to the power nought is one

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Common Mistakes: Writing a root as a fractional index before simplifying

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Final Revision: Converting an answer back out of index form

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Learn: Solving an equation by writing both sides to the same base

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Practice: Solving 2 to the power x equals 32

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Learn: The definition of a logarithm as the index

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